TOWARDS OPTIMAL SPACE-TIME DISCRETIZATION FOR REACHABLE SETS OF NONLINEAR CONTROL SYSTEMS

被引：0
|
作者：
Rieger, Janosch [1 ]
Wawryk, Kyria [1 ]
机构：
[1] Monash Univ, Melbourne, Vic, Australia
来源：
JOURNAL OF COMPUTATIONAL DYNAMICS | 2024年 / 11卷 / 02期
关键词：
Reachable sets; control systems; numerical approximation; efficient discretization; Euler's method; EULER SCHEME; APPROXIMATION; OPTIMIZATION; CONVERGENCE; STABILITY;
D O I：
10.3934/jcd.2023013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Reachable sets of nonlinear control systems can in general only be approximated numerically, and these approximations are typically very expensive to compute. In this paper, we explore a strategy for choosing the temporal and spatial discretizations of Euler's method for reachable set computation in a non-uniform way to improve the performance of the method.
引用
收藏
页码：153 / 173
页数：21
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